Whitehead problems for words in $\ZZ^m \times F_n$

TL;DR

This paper solves the Whitehead problem for automorphisms, monomorphisms, and endomorphisms in the group Z^m  imes F_n by explicitly describing these transformations.

Contribution

It provides an explicit description of automorphisms, monomorphisms, and endomorphisms in Z^m  imes F_n, solving the Whitehead problem for these cases.

Findings

Explicit descriptions of automorphisms, monomorphisms, and endomorphisms in Z^m  imes F_n

Solution to the Whitehead problem for these transformations

Enhanced understanding of the structure of Z^m  imes F_n

Abstract

We solve the Whitehead problem for automorphisms, monomorphisms and endomorphisms in $\ZZ^m \times F_n$ after giving an explicit description of each of these families of transformations.